2 citations · 2 across the 3 of their papers we have counts for
5 papers
The torus trick for configuration categories
Pedro Boavida de Brito, Michael S. Weiss
We show that in codimension at least 3, spaces of locally flat topological embeddings of manifolds are correctly modelled by derived spaces of maps between their configuration cate…
Classifying spaces of infinity-sheaves
Daniel Berwick-Evans, Pedro Boavida de Brito, Dmitri Pavlov
We prove that the set of concordance classes of sections of an infinity-sheaf on a manifold is representable, extending a theorem of Madsen and Weiss. This is reminiscent of an h-p…
The configuration category of a product
Pedro Boavida de Brito, Michael S. Weiss
A construction related to the Boardman-Vogt tensor product of operads allows us to describe the configuration category of a product manifold in terms of the configurati…
Segal objects and the Grothendieck construction
Pedro Boavida de Brito
We discuss right fibrations in the -categorical context of Segal objects in a category V and prove some basic results about these.
Manifold calculus and homotopy sheaves
Pedro Boavida de Brito, Michael S. Weiss
Manifold calculus is a form of functor calculus concerned with functors from some category of manifolds to spaces. A weakness in the original formulation is that it is not continuo…